<!DOCTYPE html><html><head>
      <title>OI-WIKI&#x5B66;&#x4E60;&#x8DEF;&#x7EBF;(CSP-J)</title>
      <meta charset="utf-8">
      <meta name="viewport" content="width=device-width, initial-scale=1.0">
      
      
        <script type="text/x-mathjax-config">
          MathJax.Hub.Config({"extensions":["tex2jax.js"],"jax":["input/TeX","output/HTML-CSS"],"messageStyle":"none","tex2jax":{"processEnvironments":false,"processEscapes":true,"inlineMath":[["$","$"],["\\(","\\)"]],"displayMath":[["$$","$$"],["\\[","\\]"]]},"TeX":{"extensions":["AMSmath.js","AMSsymbols.js","noErrors.js","noUndefined.js"]},"HTML-CSS":{"availableFonts":["TeX"]}});
        </script>
        <script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js"></script>
        
      
      
      
      
      
      
      
      
      
      <style>
      /**
 * prism.js Github theme based on GitHub's theme.
 * @author Sam Clarke
 */
code[class*="language-"],
pre[class*="language-"] {
  color: #333;
  background: none;
  font-family: Consolas, "Liberation Mono", Menlo, Courier, monospace;
  text-align: left;
  white-space: pre;
  word-spacing: normal;
  word-break: normal;
  word-wrap: normal;
  line-height: 1.4;

  -moz-tab-size: 8;
  -o-tab-size: 8;
  tab-size: 8;

  -webkit-hyphens: none;
  -moz-hyphens: none;
  -ms-hyphens: none;
  hyphens: none;
}

/* Code blocks */
pre[class*="language-"] {
  padding: .8em;
  overflow: auto;
  /* border: 1px solid #ddd; */
  border-radius: 3px;
  /* background: #fff; */
  background: #f5f5f5;
}

/* Inline code */
:not(pre) > code[class*="language-"] {
  padding: .1em;
  border-radius: .3em;
  white-space: normal;
  background: #f5f5f5;
}

.token.comment,
.token.blockquote {
  color: #969896;
}

.token.cdata {
  color: #183691;
}

.token.doctype,
.token.punctuation,
.token.variable,
.token.macro.property {
  color: #333;
}

.token.operator,
.token.important,
.token.keyword,
.token.rule,
.token.builtin {
  color: #a71d5d;
}

.token.string,
.token.url,
.token.regex,
.token.attr-value {
  color: #183691;
}

.token.property,
.token.number,
.token.boolean,
.token.entity,
.token.atrule,
.token.constant,
.token.symbol,
.token.command,
.token.code {
  color: #0086b3;
}

.token.tag,
.token.selector,
.token.prolog {
  color: #63a35c;
}

.token.function,
.token.namespace,
.token.pseudo-element,
.token.class,
.token.class-name,
.token.pseudo-class,
.token.id,
.token.url-reference .token.variable,
.token.attr-name {
  color: #795da3;
}

.token.entity {
  cursor: help;
}

.token.title,
.token.title .token.punctuation {
  font-weight: bold;
  color: #1d3e81;
}

.token.list {
  color: #ed6a43;
}

.token.inserted {
  background-color: #eaffea;
  color: #55a532;
}

.token.deleted {
  background-color: #ffecec;
  color: #bd2c00;
}

.token.bold {
  font-weight: bold;
}

.token.italic {
  font-style: italic;
}


/* JSON */
.language-json .token.property {
  color: #183691;
}

.language-markup .token.tag .token.punctuation {
  color: #333;
}

/* CSS */
code.language-css,
.language-css .token.function {
  color: #0086b3;
}

/* YAML */
.language-yaml .token.atrule {
  color: #63a35c;
}

code.language-yaml {
  color: #183691;
}

/* Ruby */
.language-ruby .token.function {
  color: #333;
}

/* Markdown */
.language-markdown .token.url {
  color: #795da3;
}

/* Makefile */
.language-makefile .token.symbol {
  color: #795da3;
}

.language-makefile .token.variable {
  color: #183691;
}

.language-makefile .token.builtin {
  color: #0086b3;
}

/* Bash */
.language-bash .token.keyword {
  color: #0086b3;
}

/* highlight */
pre[data-line] {
  position: relative;
  padding: 1em 0 1em 3em;
}
pre[data-line] .line-highlight-wrapper {
  position: absolute;
  top: 0;
  left: 0;
  background-color: transparent;
  display: block;
  width: 100%;
}

pre[data-line] .line-highlight {
  position: absolute;
  left: 0;
  right: 0;
  padding: inherit 0;
  margin-top: 1em;
  background: hsla(24, 20%, 50%,.08);
  background: linear-gradient(to right, hsla(24, 20%, 50%,.1) 70%, hsla(24, 20%, 50%,0));
  pointer-events: none;
  line-height: inherit;
  white-space: pre;
}

pre[data-line] .line-highlight:before, 
pre[data-line] .line-highlight[data-end]:after {
  content: attr(data-start);
  position: absolute;
  top: .4em;
  left: .6em;
  min-width: 1em;
  padding: 0 .5em;
  background-color: hsla(24, 20%, 50%,.4);
  color: hsl(24, 20%, 95%);
  font: bold 65%/1.5 sans-serif;
  text-align: center;
  vertical-align: .3em;
  border-radius: 999px;
  text-shadow: none;
  box-shadow: 0 1px white;
}

pre[data-line] .line-highlight[data-end]:after {
  content: attr(data-end);
  top: auto;
  bottom: .4em;
}html body{font-family:"Helvetica Neue",Helvetica,"Segoe UI",Arial,freesans,sans-serif;font-size:16px;line-height:1.6;color:#333;background-color:#fff;overflow:initial;box-sizing:border-box;word-wrap:break-word}html body>:first-child{margin-top:0}html body h1,html body h2,html body h3,html body h4,html body h5,html body h6{line-height:1.2;margin-top:1em;margin-bottom:16px;color:#000}html body h1{font-size:2.25em;font-weight:300;padding-bottom:.3em}html body h2{font-size:1.75em;font-weight:400;padding-bottom:.3em}html body h3{font-size:1.5em;font-weight:500}html body h4{font-size:1.25em;font-weight:600}html body h5{font-size:1.1em;font-weight:600}html body h6{font-size:1em;font-weight:600}html body h1,html body h2,html body h3,html body h4,html body h5{font-weight:600}html body h5{font-size:1em}html body h6{color:#5c5c5c}html body strong{color:#000}html body del{color:#5c5c5c}html body a:not([href]){color:inherit;text-decoration:none}html body a{color:#08c;text-decoration:none}html body a:hover{color:#00a3f5;text-decoration:none}html body img{max-width:100%}html body>p{margin-top:0;margin-bottom:16px;word-wrap:break-word}html body>ul,html body>ol{margin-bottom:16px}html body ul,html body ol{padding-left:2em}html body ul.no-list,html body ol.no-list{padding:0;list-style-type:none}html body ul ul,html body ul ol,html body ol ol,html body ol ul{margin-top:0;margin-bottom:0}html body li{margin-bottom:0}html body li.task-list-item{list-style:none}html body li>p{margin-top:0;margin-bottom:0}html body .task-list-item-checkbox{margin:0 .2em .25em -1.8em;vertical-align:middle}html body .task-list-item-checkbox:hover{cursor:pointer}html body blockquote{margin:16px 0;font-size:inherit;padding:0 15px;color:#5c5c5c;background-color:#f0f0f0;border-left:4px solid #d6d6d6}html body blockquote>:first-child{margin-top:0}html body blockquote>:last-child{margin-bottom:0}html body hr{height:4px;margin:32px 0;background-color:#d6d6d6;border:0 none}html body table{margin:10px 0 15px 0;border-collapse:collapse;border-spacing:0;display:block;width:100%;overflow:auto;word-break:normal;word-break:keep-all}html body table th{font-weight:bold;color:#000}html body table td,html body table th{border:1px solid #d6d6d6;padding:6px 13px}html body dl{padding:0}html body dl dt{padding:0;margin-top:16px;font-size:1em;font-style:italic;font-weight:bold}html body dl dd{padding:0 16px;margin-bottom:16px}html body code{font-family:Menlo,Monaco,Consolas,'Courier New',monospace;font-size:.85em !important;color:#000;background-color:#f0f0f0;border-radius:3px;padding:.2em 0}html body code::before,html body code::after{letter-spacing:-0.2em;content:"\00a0"}html body pre>code{padding:0;margin:0;font-size:.85em !important;word-break:normal;white-space:pre;background:transparent;border:0}html body .highlight{margin-bottom:16px}html body .highlight pre,html body pre{padding:1em;overflow:auto;font-size:.85em !important;line-height:1.45;border:#d6d6d6;border-radius:3px}html body .highlight pre{margin-bottom:0;word-break:normal}html body pre code,html body pre tt{display:inline;max-width:initial;padding:0;margin:0;overflow:initial;line-height:inherit;word-wrap:normal;background-color:transparent;border:0}html body pre code:before,html body pre tt:before,html body pre code:after,html body pre tt:after{content:normal}html body p,html body blockquote,html body ul,html body ol,html body dl,html body pre{margin-top:0;margin-bottom:16px}html body kbd{color:#000;border:1px solid #d6d6d6;border-bottom:2px solid #c7c7c7;padding:2px 4px;background-color:#f0f0f0;border-radius:3px}@media print{html body{background-color:#fff}html body h1,html body h2,html body h3,html body h4,html body h5,html body h6{color:#000;page-break-after:avoid}html body blockquote{color:#5c5c5c}html body pre{page-break-inside:avoid}html body table{display:table}html body img{display:block;max-width:100%;max-height:100%}html body pre,html body code{word-wrap:break-word;white-space:pre}}.markdown-preview{width:100%;height:100%;box-sizing:border-box}.markdown-preview .pagebreak,.markdown-preview .newpage{page-break-before:always}.markdown-preview pre.line-numbers{position:relative;padding-left:3.8em;counter-reset:linenumber}.markdown-preview pre.line-numbers>code{position:relative}.markdown-preview pre.line-numbers .line-numbers-rows{position:absolute;pointer-events:none;top:1em;font-size:100%;left:0;width:3em;letter-spacing:-1px;border-right:1px solid #999;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.markdown-preview pre.line-numbers .line-numbers-rows>span{pointer-events:none;display:block;counter-increment:linenumber}.markdown-preview pre.line-numbers .line-numbers-rows>span:before{content:counter(linenumber);color:#999;display:block;padding-right:.8em;text-align:right}.markdown-preview .mathjax-exps .MathJax_Display{text-align:center !important}.markdown-preview:not([for="preview"]) .code-chunk .btn-group{display:none}.markdown-preview:not([for="preview"]) .code-chunk .status{display:none}.markdown-preview:not([for="preview"]) .code-chunk .output-div{margin-bottom:16px}.markdown-preview .md-toc{padding:0}.markdown-preview .md-toc .md-toc-link-wrapper .md-toc-link{display:inline;padding:.25rem 0}.markdown-preview .md-toc .md-toc-link-wrapper .md-toc-link p,.markdown-preview .md-toc .md-toc-link-wrapper .md-toc-link div{display:inline}.markdown-preview .md-toc .md-toc-link-wrapper.highlighted .md-toc-link{font-weight:800}.scrollbar-style::-webkit-scrollbar{width:8px}.scrollbar-style::-webkit-scrollbar-track{border-radius:10px;background-color:transparent}.scrollbar-style::-webkit-scrollbar-thumb{border-radius:5px;background-color:rgba(150,150,150,0.66);border:4px solid rgba(150,150,150,0.66);background-clip:content-box}html body[for="html-export"]:not([data-presentation-mode]){position:relative;width:100%;height:100%;top:0;left:0;margin:0;padding:0;overflow:auto}html body[for="html-export"]:not([data-presentation-mode]) .markdown-preview{position:relative;top:0}@media screen and (min-width:914px){html body[for="html-export"]:not([data-presentation-mode]) .markdown-preview{padding:2em calc(50% - 457px + 2em)}}@media screen and (max-width:914px){html body[for="html-export"]:not([data-presentation-mode]) .markdown-preview{padding:2em}}@media screen and (max-width:450px){html body[for="html-export"]:not([data-presentation-mode]) .markdown-preview{font-size:14px !important;padding:1em}}@media print{html body[for="html-export"]:not([data-presentation-mode]) #sidebar-toc-btn{display:none}}html body[for="html-export"]:not([data-presentation-mode]) #sidebar-toc-btn{position:fixed;bottom:8px;left:8px;font-size:28px;cursor:pointer;color:inherit;z-index:99;width:32px;text-align:center;opacity:.4}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] #sidebar-toc-btn{opacity:1}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc{position:fixed;top:0;left:0;width:300px;height:100%;padding:32px 0 48px 0;font-size:14px;box-shadow:0 0 4px rgba(150,150,150,0.33);box-sizing:border-box;overflow:auto;background-color:inherit}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc::-webkit-scrollbar{width:8px}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc::-webkit-scrollbar-track{border-radius:10px;background-color:transparent}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc::-webkit-scrollbar-thumb{border-radius:5px;background-color:rgba(150,150,150,0.66);border:4px solid rgba(150,150,150,0.66);background-clip:content-box}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc a{text-decoration:none}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc .md-toc{padding:0 16px}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc .md-toc .md-toc-link-wrapper .md-toc-link{display:inline;padding:.25rem 0}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc .md-toc .md-toc-link-wrapper .md-toc-link p,html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc .md-toc .md-toc-link-wrapper .md-toc-link div{display:inline}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .md-sidebar-toc .md-toc .md-toc-link-wrapper.highlighted .md-toc-link{font-weight:800}html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .markdown-preview{left:300px;width:calc(100% -  300px);padding:2em calc(50% - 457px -  300px/2);margin:0;box-sizing:border-box}@media screen and (max-width:1274px){html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .markdown-preview{padding:2em}}@media screen and (max-width:450px){html body[for="html-export"]:not([data-presentation-mode])[html-show-sidebar-toc] .markdown-preview{width:100%}}html body[for="html-export"]:not([data-presentation-mode]):not([html-show-sidebar-toc]) .markdown-preview{left:50%;transform:translateX(-50%)}html body[for="html-export"]:not([data-presentation-mode]):not([html-show-sidebar-toc]) .md-sidebar-toc{display:none}
/* Please visit the URL below for more information: */
/*   https://shd101wyy.github.io/markdown-preview-enhanced/#/customize-css */
.markdown-preview.markdown-preview {
  /*重头戏开始*/
  /*初始化格式*/
  /* 一级标题 */
  /*三个小点点*/
  /*二级标题*/
  /* 三级标题 */
  /* 四级标题 */
  /* 引用
* 左边缘颜色 border-left-color:black;
* 背景色 background:gray; */
  /* 引用文字 */
  /* 链接 */
  /* 加粗 */
  /* 斜体 */
  /* 加粗斜体 */
  /* 删除线 */
  /* 分割线 */
  /* 图片 */
  /*音频*/
  /*视频*/
  /* 图片描述文字 */
  /* 列表内容 */
  /* ol+p strong {
    margin-left: -16px;
  }*/
  /* 序号 */
  /*设置条纹*/
  /*设置首列不同*/
  /* 脚注文字 */
  /* 脚注上标 */
  /* 脚注超链接样式 */
  /* "参考资料"四个字 
* 内容 content: "参考资料";
*/
  /* 参考资料编号 */
  /* 参考资料文字 */
  /* 参考资料超链接 */
  /* 参考资料解释 */
  /* 行间公式*/
  /* 行内公式*/
  /* 滑动图片*/
  /*打印时强制下一页*/
  /*容器和媒体*/
  /*代码块*/
  /* 行内代码 */
  /* 非微信代码块
* 代码块不换行 display:-webkit-box !important;
* 代码块换行 display:block;
*/
  /* 表格内的单元格
* 字体大小 font-size: 16px;
* 边框 border: 1px solid #ccc;
* 内边距 padding: 5px 10px;
*/
  /*mpe的代码样式*/
  /*数学相关*/
}
.markdown-preview.markdown-preview * {
  -webkit-font-smoothing: antialiased;
  -webkit-overflow-scrolling: touch;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
  -webkit-text-size-adjust: none;
  -webkit-touch-callout: none;
  box-sizing: border-box;
  font-family: "Inconsolata", "LXGW WenKai Screen R", "Consolas", "monospace", "Monaco", " Lucida Console", " Liberation Mono", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", " Courier New";
}
.markdown-preview.markdown-preview body {
  line-height: 1.5em;
  letter-spacing: 0.034em;
  color: #3f3f3f;
  font-size: 16px;
  word-break: all;
  background-color: #ffffff;
  max-width: 1000px;
  /*设置最大宽度*/
  margin: 0 auto;
  /*设置内容居中*/
}
.markdown-preview.markdown-preview h1,
.markdown-preview.markdown-preview h2,
.markdown-preview.markdown-preview h3,
.markdown-preview.markdown-preview h4,
.markdown-preview.markdown-preview h5,
.markdown-preview.markdown-preview h6 {
  margin-bottom: 0.25em;
  margin-top: 0.5em;
}
.markdown-preview.markdown-preview h1::before {
  max-width: 1000px;
  content: " ";
  position: absolute;
  -webkit-border-radius: 50%;
  border-radius: 50%;
  background: #fc625d;
  width: 12px;
  height: 12px;
  left: 10px;
  top: 10px;
  -webkit-box-shadow: 20px 0 #fdbc40, 40px 0 #35cd4b;
  box-shadow: 20px 0 #fdbc40, 40px 0 #35cd4b;
  z-index: 2;
}
.markdown-preview.markdown-preview h1 {
  background-position: center top;
  background-repeat: no-repeat;
  background-size: 70px;
  line-height: 70px;
  margin-top: 10px;
  margin-bottom: 0px;
  text-align: center;
  padding-bottom: 0em;
  border: 0px;
  /* 一级标题内容 */
  font-size: 30px;
  color: #3c70c6;
}
.markdown-preview.markdown-preview h2 {
  display: inline-block;
  background: #2dc878;
  background-repeat: no-repeat;
  background-position: center;
  border-radius: 5px;
  padding: 10px 8px 8px 8px;
  box-shadow: #666666 2px 3px 1.5px 1.5px;
  /* 二级标题内容 */
  color: white;
  font-size: 24px;
  font-weight: normal;
  text-shadow: #666666 1px 1px 1px;
}
.markdown-preview.markdown-preview h2::after {
  display: block;
}
.markdown-preview.markdown-preview h3:before {
  content: "";
  background: size 1.5em;
  display: inline-block;
  margin-top: 0.5em;
  padding-left: 8px;
}
.markdown-preview.markdown-preview h3 {
  display: block;
  font-size: 22px;
  font-weight: bold;
  color: #1956b8;
  line-height: 1.5em;
}
.markdown-preview.markdown-preview h4:before {
  content: "";
  background: size 1.5em;
  display: inline-block;
  text-indent: 0.75em;
}
.markdown-preview.markdown-preview h4 {
  display: block;
  font-size: 20px;
  font-weight: bold;
  color: #016063;
  text-indent: 0.75em;
  line-height: 1.5em;
}
.markdown-preview.markdown-preview h5 {
  font-weight: bold;
  color: #219c67;
  font-size: 18px;
}
.markdown-preview.markdown-preview h6 {
  font-size: 16px;
  color: #eb085f;
  line-height: 1.5em;
  text-align: center;
  font-style: italic;
  font-weight: bold;
}
.markdown-preview.markdown-preview p {
  padding-top: 0px;
  padding-left: 1em;
  padding-right: 1em;
  color: #4a4a4a;
  line-height: 1.5em;
  font-size: 16px;
  /* text-indent: 2em;*/
  /*首行缩进*/
}
.markdown-preview.markdown-preview blockquote {
  padding: 15px 15px 10px 10px;
  line-height: 27px;
  border-radius: 10px;
  display: block;
  border-color: #bababa;
  color: #656565;
  background-color: #f3f0ea;
  font-style: italic;
  border-left: 5px solid;
  padding-left: 1em;
  max-width: 90%;
  margin: 0 auto;
  margin-bottom: 0.5em;
}
.markdown-preview.markdown-preview blockquote p {
  padding: 0px;
  font-size: 15px;
  color: #126b15;
}
.markdown-preview.markdown-preview a:hover,
.markdown-preview.markdown-preview a:active {
  font-size: larger;
}
@supports (-webkit-background-clip: text) or (background-clip: text) {
  .markdown-preview.markdown-preview a:hover,
  .markdown-preview.markdown-preview a:active {
    background: linear-gradient(to right, red, #01d6c1);
    -webkit-background-clip: text;
    background-clip: text;
    color: transparent;
  }
}
.markdown-preview.markdown-preview a {
  color: #143974;
  text-decoration: underline;
}
.markdown-preview.markdown-preview strong {
  line-height: 1.75em;
  color: #ff1818;
}
.markdown-preview.markdown-preview em {
  color: #126b15;
  /*字符间距*/
}
.markdown-preview.markdown-preview em strong {
  color: #126b15;
  /*字符间距*/
}
.markdown-preview.markdown-preview del,
.markdown-preview.markdown-preview s {
  font-style: italic;
  text-decoration: line-through;
  font-weight: bolder;
  color: #fc625d;
}
.markdown-preview.markdown-preview sub {
  color: #0b941b;
}
.markdown-preview.markdown-preview hr {
  height: 2px;
  padding: 0;
  border: none;
  text-align: center;
  background-image: linear-gradient(to right, rgba(60, 122, 198, 0), #063a7a, rgba(60, 122, 198, 0));
}
.markdown-preview.markdown-preview .container img {
  max-width: 100%;
}
.markdown-preview.markdown-preview img {
  display: block;
  border-radius: 10px;
  max-width: 99%;
  margin: 0 auto;
}
.markdown-preview.markdown-preview img:active {
  transform: scale(2);
}
.markdown-preview.markdown-preview audio {
  display: block;
  margin: 0 auto;
}
.markdown-preview.markdown-preview video {
  overflow: hidden;
  display: flex;
  align-items: center;
  justify-content: center;
  max-width: 80%;
  max-height: 700px;
  margin: 0 auto;
}
@media only screen and (max-width: 480px) {
  .markdown-preview.markdown-preview {
    /*此适配不同手机型号下文字，图片的大小*/
  }
}
@media only screen and (max-width: 375px) {
  .markdown-preview.markdown-preview {
    /*此适配不同手机型号下文字，图片的大小*/
  }
}
.markdown-preview.markdown-preview figcaption {
  display: block;
  font-size: 12px;
  font-family: PingFangSC-Light;
}
.markdown-preview.markdown-preview ul,
.markdown-preview.markdown-preview ol {
  margin-top: 0.25em;
  margin-bottom: 0.5em;
  margin-left: 1em;
}
.markdown-preview.markdown-preview p + ul,
.markdown-preview.markdown-preview p + ol {
  margin-top: -1em;
  margin-left: 2em;
}
.markdown-preview.markdown-preview li ul {
  margin-top: 0em;
}
.markdown-preview.markdown-preview li::marker {
  color: #6116ac;
  font-weight: bolder;
  font-style: italic;
}
.markdown-preview.markdown-preview ul li::marker {
  font-style: normal;
  font-weight: 800;
}
.markdown-preview.markdown-preview li {
  list-style-type: decimal;
  list-style-position: outside;
  color: #01474e;
  size: 14px;
}
.markdown-preview.markdown-preview ol li {
  list-style-type: decimal;
  list-style-position: outside;
}
.markdown-preview.markdown-preview ul li {
  list-style-type: disc;
  list-style-position: outside;
}
.markdown-preview.markdown-preview li li {
  list-style-type: lower-latin;
  list-style-position: outside;
}
.markdown-preview.markdown-preview li ol {
  list-style-type: lower-latin;
  list-style-position: outside;
  margin-top: 0px;
}
.markdown-preview.markdown-preview li p {
  margin-left: 0px;
  padding-left: 0px;
}
.markdown-preview.markdown-preview table {
  margin: 0 auto;
  width: 100%;
  font-size: 1em;
  border: 0px;
  border-spacing: 0;
  display: table;
  /*去掉单元格间隙*/
  border-collapse: collapse;
  word-wrap: break-word;
  word-break: keep-all;
}
.markdown-preview.markdown-preview thead {
  background-color: #e0e0e0;
  color: #000;
  text-align: left;
  vertical-align: bottom;
  margin: 0 auto;
  width: 100%;
}
.markdown-preview.markdown-preview thead.md-table-edit {
  background-color: transparent;
}
.markdown-preview.markdown-preview thead th,
.markdown-preview.markdown-preview tfoot th {
  padding: 0.25em 0.25em 0.25em 0.4em;
  text-transform: uppercase;
}
.markdown-preview.markdown-preview th {
  text-align: center;
  font-weight: bolder;
  color: #fff;
  background-color: #353535;
}
.markdown-preview.markdown-preview td {
  vertical-align: middle;
  padding: 0.25em 0.25em 0.25em 0.4em;
  color: #237465;
}
.markdown-preview.markdown-preview tr:nth-of-type(even) {
  background: #eeeded;
}
.markdown-preview.markdown-preview td:nth-child(1) {
  font-weight: bolder;
  font-style: italic;
  color: #064d8c;
}
.markdown-preview.markdown-preview caption {
  color: #000;
  font: italic 85%/1 arial, sans-serif;
  padding: 1em 0;
  text-align: center;
}
.markdown-preview.markdown-preview .md-fences {
  margin-left: 2em;
  margin-bottom: 3em;
}
.markdown-preview.markdown-preview .md-fences .CodeMirror.CodeMirror-wrap {
  top: -0.8em;
}
.markdown-preview.markdown-preview tt {
  font-size: 0.875em;
  line-height: 1.714285em;
}
.markdown-preview.markdown-preview body .task-list {
  padding-left: 1rem;
}
.markdown-preview.markdown-preview body .task-list-item {
  list-style-type: none;
  margin-left: -1.8em;
}
.markdown-preview.markdown-preview body .task-list-item .task-list-item-checkbox {
  margin-right: 0.8em;
}
.markdown-preview.markdown-preview body .task-list-item input:before {
  content: '\221A';
  display: inline-block;
  width: 1.25rem;
  height: 1.5rem;
  vertical-align: middle;
  text-align: center;
  color: #ddd;
  background-color: #F3F2EE;
}
.markdown-preview.markdown-preview body .task-list-item input:checked:before,
.markdown-preview.markdown-preview body .task-list-item input[checked]:before {
  color: inherit;
}
.markdown-preview.markdown-preview body kbd {
  color: #1f0909;
}
.markdown-preview.markdown-preview body li > p {
  left: 0;
}
.markdown-preview.markdown-preview body .md-meta,
.markdown-preview.markdown-preview body .md-before,
.markdown-preview.markdown-preview body .md-after {
  color: #999;
}
.markdown-preview.markdown-preview .footnotes {
  padding-top: 8px;
}
.markdown-preview.markdown-preview .footnote-word {
  color: #3c70c6;
}
.markdown-preview.markdown-preview .footnote-ref {
  color: #3c70c6;
}
.markdown-preview.markdown-preview .footnote-item em {
  color: #3c70c6;
  font-size: 13px;
  font-style: normal;
  border-bottom-color: 1px dashed #3c70c6;
}
.markdown-preview.markdown-preview .footnotes-sep:before {
  background-image: none;
  background-size: none;
  display: block;
  width: auto;
  height: auto;
}
.markdown-preview.markdown-preview .footnote-num {
  color: #3c70c6;
}
.markdown-preview.markdown-preview .footnote-item p {
  color: #3c70c6;
  font-weight: bold;
}
.markdown-preview.markdown-preview .footnote-item a {
  color: #3c70c6;
}
.markdown-preview.markdown-preview .footnote-item p em {
  font-size: 14px;
  font-weight: normal;
  border-bottom: 1px dashed #3c70c6;
}
.markdown-preview.markdown-preview .block-equation svg {
  max-width: 300% !important;
}
.markdown-preview.markdown-preview .inline-equation svg {
  max-width: 300% !important;
}
.markdown-preview.markdown-preview .imageflow-img {
  display: inline-block;
  width: 100%;
  margin-bottom: 0;
}
.markdown-preview.markdown-preview .nextpage {
  page-break-after: always;
  border: 0px;
  background-image: none;
  background: none;
}
.markdown-preview.markdown-preview .container {
  width: 1100px;
  max-width: 100%;
}
.markdown-preview.markdown-preview input {
  text-align: center;
  vertical-align: middle;
}
.markdown-preview.markdown-preview code {
  display: inline-block;
  color: #b83492;
  background-color: #f2fffe;
  border: 2px solid #ccc;
  border-radius: 5px;
  font-weight: 800;
  padding: 0;
  margin: 0;
  text-indent: 0;
}
.markdown-preview.markdown-preview pre[data-line] {
  position: relative;
  padding: 1em 0 1em 3em !important;
}
.markdown-preview.markdown-preview pre[data-line] .line-highlight-wrapper {
  position: absolute;
  top: 0;
  left: 0;
  background-color: transparent;
  display: block;
  width: 100%;
}
.markdown-preview.markdown-preview pre[data-line] .line-highlight {
  position: absolute;
  left: 0;
  right: 0;
  padding: inherit 0;
  margin-top: 1em;
  background: rgba(153, 122, 102, 0.08);
  background: linear-gradient(to right, rgba(153, 122, 102, 0.1) 70%, rgba(153, 122, 102, 0));
  pointer-events: none;
  line-height: inherit;
  white-space: pre;
}
.markdown-preview.markdown-preview pre[data-line] .line-highlight:before,
.markdown-preview.markdown-preview pre[data-line] .line-highlight[data-end]:after {
  content: attr(data-start);
  position: absolute;
  top: 0.4em;
  left: 0.6em;
  min-width: 1em;
  padding: 0 0.5em;
  background-color: rgba(153, 122, 102, 0.4);
  color: #f5f2f0;
  font: bold 65%/1.5 sans-serif;
  text-align: center;
  vertical-align: 0.3em;
  border-radius: 999px;
  text-shadow: none;
  box-shadow: 0 1px white;
}
.markdown-preview.markdown-preview pre[data-line] .line-highlight[data-end]:after {
  content: attr(data-end);
  top: auto;
  bottom: 0.4em;
}
.markdown-preview.markdown-preview pre {
  background: #f0f1f1;
  border: 0px solid #b66a07;
  border-radius: 10px;
  font: 16px/22px, "Microsoft YaHei", Arial, Sans-Serif;
  line-height: 1.35em;
  max-width: 90%;
  text-shadow: none;
  color: #000;
  box-shadow: 0 10px 30px 0 rgba(0, 0, 0, 0.4);
  white-space: pre-wrap;
  word-wrap: break-word;
  margin: auto;
  margin-bottom: 1em;
  margin-top: 0.5em;
  padding-top: 1em;
  padding-bottom: 1em;
  font-weight: 800;
}
.markdown-preview.markdown-preview pre:after {
  color: #ccc;
  content: attr(data-lang);
  font-size: 16px;
  height: 15px;
  line-height: 15px;
  padding: 5px 10px 0;
  position: absolute;
  right: 0;
  text-align: right;
  top: 0;
}
.markdown-preview.markdown-preview .language- {
  padding: 2px;
}
.markdown-preview.markdown-preview pre code {
  width: 100%;
  background-color: #eee;
  margin: 0px;
  border: 0px;
  padding-left: 4em;
  padding-top: 1em;
  padding-bottom: 1em;
}
.markdown-preview.markdown-preview .token.comment {
  font-style: italic;
  color: #075811;
}
.markdown-preview.markdown-preview .token.function {
  color: #ff6600;
}
.markdown-preview.markdown-preview .token.string {
  color: blue;
}
.markdown-preview.markdown-preview .token.number {
  color: #237465;
}
.markdown-preview.markdown-preview .token.directive-hash {
  color: #06615e;
}
.markdown-preview.markdown-preview .token.class-name {
  color: teal;
}
.markdown-preview.markdown-preview .token.keyword {
  font-style: italic;
  font-weight: 1100;
}
.markdown-preview.markdown-preview .mstyle,
.markdown-preview.markdown-preview .mrow,
.markdown-preview.markdown-preview .mfrac,
.markdown-preview.markdown-preview .math,
.markdown-preview.markdown-preview .mord,
.markdown-preview.markdown-preview .mo,
.markdown-preview.markdown-preview .mi,
.markdown-preview.markdown-preview .mn {
  font-weight: bolder;
  /*数学加粗*/
  line-height: 2em;
  color: #bf39b4;
  text-shadow: 1px 1px #ffffff;
  /*亮*/
}
.markdown-preview.markdown-preview .node {
  font-size: 14px;
  vertical-align: middle;
  min-width: 100px;
}

      </style>
    </head>
    <body for="html-export">
      <div class="mume markdown-preview  ">
      <article class="md-content__inner md-typeset"><h1>OI-Wiki&#x5B66;&#x4E60;&#x8DEF;&#x7EBF;</h1>
<hr>
<h2 id="1-c-&#x8BED;&#x8A00;&#x57FA;&#x7840;">1 C++ &#x8BED;&#x8A00;&#x57FA;&#x7840;<a title="Permanent link" class="headerlink" href="#1-c-&#x8BED;&#x8A00;&#x57FA;&#x7840;"></a></h2><p>&#x5148;&#x4ECE; C++ &#x8BED;&#x6CD5;&#x5B66;&#x8D77;&#xFF0C;&#x4E00;&#x6B65;&#x4E00;&#x6B65;&#x6765;&#x3002;</p><h3 id="11-hello-world">1.1 Hello, World!<a title="Permanent link" class="headerlink" href="#11-hello-world"></a></h3><p>&#x4EE5;&#x4E00;&#x53E5; <code>Hello, World!</code>&#xFF0C;&#x5F00;&#x59CB;&#x7B97;&#x6CD5;&#x7ADE;&#x8D5B;&#x4E4B;&#x65C5;&#x5427;&#xFF01;</p><p>&#x540C;&#x65F6;&#x4E86;&#x89E3;&#x4E00;&#x4E0B; C++ &#x7684;&#x6E90;&#x7A0B;&#x5E8F;&#x7684;&#x5927;&#x81F4;&#x6846;&#x67B6;&#x662F;&#x4EC0;&#x4E48;&#x6837;&#x5B50;&#x7684;&#x3002;</p><ul><li><a href="../../lang/helloworld/">Hello, World!</a></li><li><a href="../../lang/basic/">C++ &#x8BED;&#x6CD5;&#x57FA;&#x7840;</a></li></ul><h3 id="12-&#x53D8;&#x91CF;&#x4E0E;&#x8FD0;&#x7B97;">1.2 &#x53D8;&#x91CF;&#x4E0E;&#x8FD0;&#x7B97;<a title="Permanent link" class="headerlink" href="#12-&#x53D8;&#x91CF;&#x4E0E;&#x8FD0;&#x7B97;"></a></h3><p>&#x8BA1;&#x7B97;&#x673A;&#x51FA;&#x73B0;&#x7684;&#x6700;&#x521D;&#x76EE;&#x7684;&#x5C31;&#x662F;&#x8BA1;&#x7B97;&#x3002;&#x56E0;&#x6B64;&#x6211;&#x4EEC;&#x5148;&#x5B66;&#x4E60;&#x5982;&#x4F55;&#x5B8C;&#x6210;&#x4E00;&#x4E9B;&#x7B80;&#x5355;&#x7684;&#x8FD0;&#x7B97;&#x4EFB;&#x52A1;&#x5427;&#x3002;</p><ul><li><a href="../../lang/var/">&#x53D8;&#x91CF;</a></li><li><a href="../../lang/op/">&#x8FD0;&#x7B97;</a></li></ul><h3 id="13-&#x6D41;&#x7A0B;&#x63A7;&#x5236;">1.3 &#x6D41;&#x7A0B;&#x63A7;&#x5236;<a title="Permanent link" class="headerlink" href="#13-&#x6D41;&#x7A0B;&#x63A7;&#x5236;"></a></h3><h4 id="131-&#x5206;&#x652F;&#x7ED3;&#x6784;">1.3.1 &#x5206;&#x652F;&#x7ED3;&#x6784;<a title="Permanent link" class="headerlink" href="#131-&#x5206;&#x652F;&#x7ED3;&#x6784;"></a></h4><p>&#x6709;&#x7684;&#x65F6;&#x5019;&#xFF0C;&#x6211;&#x4EEC;&#x9700;&#x8981;&#x5728;&#x4E0D;&#x540C;&#x7684;&#x6761;&#x4EF6;&#x4E0B;&#xFF0C;&#x9009;&#x62E9;&#x6267;&#x884C;&#x4E0D;&#x540C;&#x7684;&#x8BED;&#x53E5;&#xFF0C;&#x8FD9;&#x65F6;&#x5019;&#x6211;&#x4EEC;&#x5C31;&#x9700;&#x8981;&#x501F;&#x52A9;&#x5206;&#x652F;&#x8BED;&#x53E5;&#x3002;</p><ul><li><a href="../../lang/branch/">&#x5206;&#x652F;</a></li></ul><p>&#x5206;&#x652F;&#x8BED;&#x53E5;&#x5305;&#x62EC;&#x4E0B;&#x9762;&#x51E0;&#x79CD;&#xFF1A;</p><ul><li>if &#x8BED;&#x53E5;</li><li>if-else &#x8BED;&#x53E5;</li><li>if-elif-else &#x8BED;&#x53E5;</li><li>switch &#x8BED;&#x53E5;</li></ul><h4 id="132-&#x5FAA;&#x73AF;&#x7ED3;&#x6784;">1.3.2 &#x5FAA;&#x73AF;&#x7ED3;&#x6784;<a title="Permanent link" class="headerlink" href="#132-&#x5FAA;&#x73AF;&#x7ED3;&#x6784;"></a></h4><p>&#x5C06;&#x82E5;&#x5E72;&#x6761;&#x8BED;&#x53E5;&#x91CD;&#x590D;&#x6267;&#x884C;&#x591A;&#x6B21;&#xFF0C;&#x5C31;&#x9700;&#x8981;&#x7528;&#x5230;&#x5FAA;&#x73AF;&#x8BED;&#x53E5;&#x3002;</p><ul><li><a href="../../lang/loop/">&#x5FAA;&#x73AF;</a></li></ul><p>&#x5FAA;&#x73AF;&#x8BED;&#x53E5;&#x5305;&#x62EC;&#x4E0B;&#x9762;&#x51E0;&#x79CD;&#xFF1A;</p><ul><li>for &#x8BED;&#x53E5;</li><li>while &#x8BED;&#x53E5;</li><li>do-while &#x8BED;&#x53E5;</li></ul><h3 id="14-&#x6570;&#x7EC4;&#x4E0E;&#x7ED3;&#x6784;&#x4F53;">1.4 &#x6570;&#x7EC4;&#x4E0E;&#x7ED3;&#x6784;&#x4F53;<a title="Permanent link" class="headerlink" href="#14-&#x6570;&#x7EC4;&#x4E0E;&#x7ED3;&#x6784;&#x4F53;"></a></h3><p>&#x6570;&#x7EC4;&#x7528;&#x4E8E;&#x5B58;&#x50A8;&#x5927;&#x91CF;&#x76F8;&#x540C;&#x7C7B;&#x578B;&#x7684;&#x6570;&#x636E;&#x3002;&#x800C;&#x7ED3;&#x6784;&#x4F53;&#x5219;&#x53EF;&#x4EE5;&#x5C06;&#x82E5;&#x5E72;&#x53D8;&#x91CF;&#x6346;&#x7ED1;&#x8D77;&#x6765;&#x3002;</p><ul><li><a href="../../lang/array/">&#x6570;&#x7EC4;</a></li><li><a href="../../lang/struct/">&#x7ED3;&#x6784;&#x4F53;</a></li></ul><h3 id="15-&#x51FD;&#x6570;&#x4E0E;&#x9012;&#x5F52;">1.5 &#x51FD;&#x6570;&#x4E0E;&#x9012;&#x5F52;<a title="Permanent link" class="headerlink" href="#15-&#x51FD;&#x6570;&#x4E0E;&#x9012;&#x5F52;"></a></h3><p>&#x4F7F;&#x7528;&#x51FD;&#x6570;&#x6765;&#x8BA9;&#x7A0B;&#x5E8F;&#x53D8;&#x5F97;&#x6A21;&#x5757;&#x5316;&#xFF0C;&#x964D;&#x4F4E;&#x5B9E;&#x73B0;&#x6210;&#x672C;&#x3002;</p><p>&#x9012;&#x5F52;&#x5219;&#x662F;&#x65B0;&#x624B;&#x5165;&#x95E8;&#x7684;&#x4E00;&#x9053;&#x574E;&#xFF0C;&#x300C;&#x81EA;&#x5DF1;&#x8C03;&#x7528;&#x81EA;&#x5DF1;&#x300D;&#x542C;&#x8D77;&#x6765;&#x5E76;&#x4E0D;&#x662F;&#x90A3;&#x4E48;&#x5BB9;&#x6613;&#x7406;&#x89E3;&#xFF0C;&#x4E0D;&#x8FC7;&#x4ED4;&#x7EC6;&#x6DF1;&#x7A76;&#x6839;&#x672C;&#xFF0C;&#x5C31;&#x4F1A;&#x53D1;&#x73B0;&#x300C;&#x81EA;&#x5DF1;&#x8C03;&#x7528;&#x81EA;&#x5DF1;&#x300D;&#x548C;&#x300C;&#x81EA;&#x5DF1;&#x8C03;&#x7528;&#x522B;&#x4EBA;&#x300D;&#x5E76;&#x6CA1;&#x6709;&#x672C;&#x8D28;&#x5DEE;&#x522B;&#x3002;</p><ul><li><a href="../../lang/func/">&#x51FD;&#x6570;</a></li><li><a href="../../basic/divide-and-conquer/">&#x9012;&#x5F52; &amp; &#x5206;&#x6CBB;</a></li></ul><h2 id="2-csp-j-&#x5165;&#x95E8;&#x7EA7;">2 CSP-J &#x5165;&#x95E8;&#x7EA7;<a title="Permanent link" class="headerlink" href="#2-csp-j-&#x5165;&#x95E8;&#x7EA7;"></a></h2><h3 id="21-&#x679A;&#x4E3E;&#x4E0E;&#x6A21;&#x62DF;">2.1 &#x679A;&#x4E3E;&#x4E0E;&#x6A21;&#x62DF;<a title="Permanent link" class="headerlink" href="#21-&#x679A;&#x4E3E;&#x4E0E;&#x6A21;&#x62DF;"></a></h3><p>&#x4ECE;&#x73B0;&#x5728;&#x5F00;&#x59CB;&#xFF0C;&#x4F60;&#x5DF2;&#x7ECF;&#x4F1A;&#x4F7F;&#x7528; C++ &#x8BED;&#x8A00;&#x5B8C;&#x6210;&#x4E00;&#x4E9B;&#x7B80;&#x5355;&#x7684;&#x4EFB;&#x52A1;&#x4E86;&#xFF0C;&#x4F46;&#x662F;&#x8FD9;&#x8FDC;&#x8FDC;&#x4E0D;&#x591F;&#x3002;</p><p>&#x4E3A;&#x4E86;&#x505A;&#x5BF9;&#x4E00;&#x4E9B;&#x7B80;&#x5355;&#x7684;&#x9898;&#x76EE;&#xFF0C;&#x4F60;&#x9700;&#x8981;&#x5B66;&#x4F1A;&#x901A;&#x8FC7;&#x679A;&#x4E3E;&#x6216;&#x6A21;&#x62DF;&#x8111;&#x6D77;&#x4E2D;&#x7684;&#x903B;&#x8F91;&#xFF0C;&#x6765;&#x5B9E;&#x73B0;&#x4EE3;&#x7801;&#x3002;&#x8FD9;&#x770B;&#x8D77;&#x6765;&#x5E76;&#x4E0D;&#x662F;&#x5F88;&#x9AD8;&#x6548;&#xFF0C;&#x4F46;&#x6709;&#x7684;&#x65F6;&#x5019;&#x5F88;&#x7BA1;&#x7528;&#x3002;</p><ul><li><a href="../../basic/enumerate/">&#x679A;&#x4E3E;</a></li><li><a href="../../basic/simulate/">&#x6A21;&#x62DF;</a></li></ul><h3 id="22-&#x9012;&#x5F52;&#x4E0E;&#x5206;&#x6CBB;">2.2 &#x9012;&#x5F52;&#x4E0E;&#x5206;&#x6CBB;<a title="Permanent link" class="headerlink" href="#22-&#x9012;&#x5F52;&#x4E0E;&#x5206;&#x6CBB;"></a></h3><p>&#x9012;&#x5F52;&#x662F;&#x6307;&#x51FD;&#x6570;&#x5B9A;&#x4E49;&#x4E2D;&#x4E0D;&#x65AD;&#x8C03;&#x7528;&#x81EA;&#x5DF1;&#x7684;&#x65B9;&#x6CD5;&#xFF1B;&#x800C;&#x5206;&#x6CBB;&#x5219;&#x662F;&#x4E0D;&#x65AD;&#x5C06;&#x8FD9;&#x4E00;&#x4E2A;&#x95EE;&#x9898;&#x5206;&#x89E3;&#x4E3A;&#x82E5;&#x5E72;&#x5B50;&#x95EE;&#x9898;&#xFF0C;&#x6C42;&#x89E3;&#x540E;&#x5408;&#x5E76;&#x7684;&#x64CD;&#x4F5C;&#x3002;</p><ul><li><a href="../../basic/divide-and-conquer/">&#x9012;&#x5F52; &amp; &#x5206;&#x6CBB;</a></li></ul><h3 id="23-&#x5B57;&#x7B26;&#x4E32;">2.3 &#x5B57;&#x7B26;&#x4E32;<a title="Permanent link" class="headerlink" href="#23-&#x5B57;&#x7B26;&#x4E32;"></a></h3><p>&#x5728;&#x505A;&#x4FE1;&#x606F;&#x5B66;&#x9898;&#x76EE;&#x65F6;&#xFF0C;&#x7ECF;&#x5E38;&#x4F1A;&#x78B0;&#x5230;&#x7684;&#x4E00;&#x4E2A;&#x6570;&#x636E;&#x7C7B;&#x578B;&#x5C31;&#x662F;&#x5B57;&#x7B26;&#x4E32;&#xFF0C;&#x4F60;&#x9700;&#x8981;&#x5B66;&#x4E60;&#x4E00;&#x4E9B;&#x7528;&#x4E8E;&#x64CD;&#x4F5C;&#x5B57;&#x7B26;&#x4E32;&#x7684; STL &#x51FD;&#x6570;&#x3002;&#x5F53;&#x7136;&#xFF0C;&#x6A21;&#x62DF;&#x4E5F;&#x662F;&#x89E3;&#x51B3;&#x5B57;&#x7B26;&#x4E32;&#x95EE;&#x9898;&#x7684;&#x597D;&#x65B9;&#x6CD5;&#x3002;</p><ul><li><a href="../../string/basic/">&#x5B57;&#x7B26;&#x4E32;&#x57FA;&#x7840;</a></li><li><a href="../../string/lib-func/">STL &#x51FD;&#x6570;</a></li></ul><h3 id="24-&#x6392;&#x5E8F;">2.4 &#x6392;&#x5E8F;<a title="Permanent link" class="headerlink" href="#24-&#x6392;&#x5E8F;"></a></h3><p>&#x5F53;&#x4F60;&#x83B7;&#x5F97;&#x4E86;&#x4E00;&#x7EC4;&#x6570;&#x636E;&#x65F6;&#xFF0C;&#x5982;&#x4F55;&#x5C06;&#x4ED6;&#x4EEC;&#x4ECE;&#x65E0;&#x5E8F;&#x53D8;&#x6210;&#x6709;&#x5E8F;&#x4E5F;&#x662F;&#x4E2A;&#x5F88;&#x91CD;&#x8981;&#x7684;&#x95EE;&#x9898;&#x3002;&#x5728;&#x4F60;&#x6CA1;&#x6709;&#x601D;&#x8DEF;&#x7684;&#x65F6;&#x5019;&#xFF0C;&#x4E0D;&#x59A8;&#x8003;&#x8651;&#x4E00;&#x4E0B;&#x5C06;&#x6570;&#x7EC4;&#x6392;&#x4E2A;&#x5E8F;&#x5427;&#x3002;&#x8FD9;&#x4E5F;&#x662F;&#x63A5;&#x4E0B;&#x6765;&#x7684;&#x5F88;&#x591A;&#x7B97;&#x6CD5;&#x7684;&#x57FA;&#x7840;&#x3002;</p><p>&#x6392;&#x5E8F;&#x7684;&#x65B9;&#x6CD5;&#x6709;&#x70B9;&#x591A;&#xFF0C;&#x4F46;&#x7406;&#x89E3;&#x540E;&#x8BB0;&#x4F4F;&#x5B83;&#x4EEC;&#x5E76;&#x4E0D;&#x96BE;&#x3002;</p><ul><li><a href="../../basic/sort-intro/">&#x6392;&#x5E8F;&#x7B80;&#x4ECB;</a></li><li><a href="../../basic/selection-sort/">&#x9009;&#x62E9;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/bubble-sort/">&#x5192;&#x6CE1;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/insertion-sort/">&#x63D2;&#x5165;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/counting-sort/">&#x8BA1;&#x6570;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/radix-sort/">&#x57FA;&#x6570;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/quick-sort/">&#x5FEB;&#x901F;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/merge-sort/">&#x5F52;&#x5E76;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/heap-sort/">&#x5806;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/bucket-sort/">&#x6876;&#x6392;&#x5E8F;</a></li><li><a href="../../basic/stl-sort/">&#x6392;&#x5E8F;&#x76F8;&#x5173; STL</a></li></ul><p>NOI &#x5927;&#x7EB2;&#x4E2D;&#x5165;&#x95E8;&#x7EA7;&#x53EA;&#x8981;&#x6C42;&#x5B66;&#x4E60;&#x9009;&#x62E9;&#x3001;&#x5192;&#x6CE1;&#x3001;&#x63D2;&#x5165;&#x6392;&#x5E8F;&#xFF0C;&#x5171;&#x4E09;&#x4E2A;&#x6392;&#x5E8F;&#x7B97;&#x6CD5;&#xFF0C;&#x4F46;&#x662F;&#x5176;&#x4F59;&#x7684;&#x96BE;&#x5EA6;&#x4E5F;&#x5E76;&#x4E0D;&#x5927;&#xFF0C;&#x4E14;&#x521D;&#x8D5B;&#x4E2D;&#x53EF;&#x80FD;&#x6D89;&#x53CA;&#xFF0C;&#x6545;&#x4E00;&#x5E76;&#x5217;&#x51FA;&#x3002;</p><h3 id="25-&#x4E8C;&#x5206;&#x4E0E;&#x500D;&#x589E;">2.5 &#x4E8C;&#x5206;&#x4E0E;&#x500D;&#x589E;<a title="Permanent link" class="headerlink" href="#25-&#x4E8C;&#x5206;&#x4E0E;&#x500D;&#x589E;"></a></h3><p>&#x4E8C;&#x5206;&#x67E5;&#x627E;&#xFF0C;&#x672C;&#x8D28;&#x4E0A;&#x662F;&#x8FD0;&#x7528;&#x5206;&#x6CBB;&#x7684;&#x601D;&#x60F3;&#xFF0C;&#x4E0D;&#x65AD;&#x51CF;&#x5C11;&#x67E5;&#x627E;&#x8303;&#x56F4;&#x7684;&#x5927;&#x5C0F;&#xFF0C;&#x76F4;&#x81F3;&#x627E;&#x5230;&#x7B54;&#x6848;&#x3002;&#x4F46;&#x662F;&#x9700;&#x8981;&#x6CE8;&#x610F;&#xFF0C;&#x8FD9;&#x4E2A;&#x67E5;&#x627E;&#x65B9;&#x5F0F;&#x5FC5;&#x987B;&#x5E94;&#x7528;&#x5728;&#x6709;&#x5E8F;&#x7684;&#x6570;&#x636E;&#x7ED3;&#x6784;&#x4E2D;&#x3002;</p><ul><li><a href="../../basic/binary/">&#x4E8C;&#x5206;</a></li></ul><p>&#x800C;&#x500D;&#x589E;&#x5219;&#x4E0D;&#x540C;&#xFF0C;&#x5B83;&#x662F;&#x4E0D;&#x65AD;&#x7FFB;&#x500D;&#xFF0C;&#x4EE5;&#x628A;&#x7EBF;&#x6027;&#x8303;&#x7574;&#x5185;&#x7684;&#x5904;&#x7406;&#x8F6C;&#x5316;&#x4E3A;&#x5BF9;&#x6570;&#x7EA7;&#xFF0C;&#x5927;&#x5927;&#x4F18;&#x5316;&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;&#x3002;&#xFF08;&#x8FD9;&#x4E2A;&#x77E5;&#x8BC6;&#x70B9;&#x9700;&#x8981;&#x4E00;&#x70B9;&#x6570;&#x5B66;&#x57FA;&#x7840;&#xFF0C;&#x6682;&#x65F6;&#x8DF3;&#x8FC7;&#x4E5F;&#x95EE;&#x9898;&#x4E0D;&#x5927;&#xFF09;</p><ul><li><a href="../../basic/binary-lifting/">&#x500D;&#x589E;</a></li></ul><h3 id="26-&#x641C;&#x7D22;">2.6 &#x641C;&#x7D22;<a title="Permanent link" class="headerlink" href="#26-&#x641C;&#x7D22;"></a></h3><p>&#x5728;&#x5165;&#x95E8;&#x7EC4;&#xFF0C;&#x641C;&#x7D22;&#x7684;&#x9898;&#x76EE;&#x5E38;&#x5E38;&#x4F1A;&#x5728;&#x8FF7;&#x5BAB;&#x7C7B;&#x9898;&#x76EE;&#x4E2D;&#x51FA;&#x73B0;&#xFF0C;&#x4E00;&#x822C;&#x4F1A;&#x6709;&#x5730;&#x56FE;&#x7C7B;&#x7684;&#x6570;&#x636E;&#xFF1B;&#x6B64;&#x5916;&#xFF0C;&#x641C;&#x7D22;&#x4E5F;&#x5341;&#x5206;&#x5E38;&#x7528;&#x4E8E;&#x9AD8;&#x6548;&#x5730;&#x679A;&#x4E3E;&#x6784;&#x9020;&#x5408;&#x6CD5;&#x89E3;&#x7684;&#x60C5;&#x51B5;&#xFF0C;&#x4EA6;&#x53EF;&#x7528;&#x4E8E;&#x9A97;&#x5206;&#x3002;</p><h4 id="261-&#x6DF1;&#x5EA6;&#x4F18;&#x5148;&#x641C;&#x7D22;dfs">2.6.1 &#x6DF1;&#x5EA6;&#x4F18;&#x5148;&#x641C;&#x7D22;&#xFF08;DFS&#xFF09;<a title="Permanent link" class="headerlink" href="#261-&#x6DF1;&#x5EA6;&#x4F18;&#x5148;&#x641C;&#x7D22;dfs"></a></h4><p>&#x6DF1;&#x5EA6;&#x4F18;&#x5148;&#x641C;&#x7D22;&#x6307;&#x5229;&#x7528;&#x9012;&#x5F52;&#x51FD;&#x6570;&#x65B9;&#x4FBF;&#x5730;&#x5B9E;&#x73B0;&#x66B4;&#x529B;&#x679A;&#x4E3E;&#x7684;&#x7B97;&#x6CD5;&#xFF0C;&#x4E0E;&#x56FE;&#x8BBA;&#x4E2D;&#x7684; DFS &#x7B97;&#x6CD5;&#x6709;&#x4E00;&#x5B9A;&#x76F8;&#x4F3C;&#x4E4B;&#x5904;&#xFF0C;&#x4F46;&#x5E76;&#x4E0D;&#x5B8C;&#x5168;&#x76F8;&#x540C;&#x3002;</p><ul><li><a href="../../search/dfs/">DFS&#xFF08;&#x641C;&#x7D22;&#xFF09;</a></li></ul><h4 id="262-&#x5E7F;&#x5EA6;&#x4F18;&#x5148;&#x641C;&#x7D22;bfs">2.6.2 &#x5E7F;&#x5EA6;&#x4F18;&#x5148;&#x641C;&#x7D22;&#xFF08;BFS&#xFF09;<a title="Permanent link" class="headerlink" href="#262-&#x5E7F;&#x5EA6;&#x4F18;&#x5148;&#x641C;&#x7D22;bfs"></a></h4><p>&#x5C06;&#x6BCF;&#x4E00;&#x4E2A;&#x72B6;&#x6001;&#x8BBE;&#x8BA1;&#x4E3A;&#x56FE;&#x4E2D;&#x7684;&#x4E00;&#x4E2A;&#x70B9;&#xFF0C;&#x53EF;&#x4EE5;&#x5C55;&#x5F00;&#x5730;&#x6BEF;&#x5F0F;&#x641C;&#x7D22;&#x3002;</p><ul><li><a href="../../search/bfs/">BFS&#xFF08;&#x641C;&#x7D22;&#xFF09;</a></li></ul><h4 id="263-&#x641C;&#x7D22;&#x4F18;&#x5316;">2.6.3 &#x641C;&#x7D22;&#x4F18;&#x5316;<a title="Permanent link" class="headerlink" href="#263-&#x641C;&#x7D22;&#x4F18;&#x5316;"></a></h4><p>&#x5F88;&#x591A;&#x9898;&#x76EE;&#x90FD;&#x53EF;&#x4EE5;&#x7528; DFS &#x6765;&#x89E3;&#x51B3;&#xFF0C;&#x800C;&#x8FD9;&#x4E2A;&#x7B97;&#x6CD5;&#x7684;&#x590D;&#x6742;&#x5EA6;&#x663E;&#x7136;&#x662F;&#x65E0;&#x6CD5;&#x901A;&#x8FC7;&#x7684;&#x3002;&#x56E0;&#x6B64;&#xFF0C;&#x9700;&#x8981;&#x4E00;&#x4E9B;&#x4F18;&#x5316;&#x4F7F;&#x5B83;&#x8DD1;&#x5F97;&#x66F4;&#x5FEB;&#x3002;&#x8FD9;&#x6837;&#x7684;&#x4F18;&#x5316;&#x80FD;&#x591F;&#x51CF;&#x5C11;&#x4E0D;&#x53EF;&#x80FD;&#x6210;&#x529F;&#x7684;&#x5C1D;&#x8BD5;&#xFF0C;&#x79F0;&#x4E3A;&#x300C;&#x526A;&#x679D;&#x300D;&#x3002;BFS &#x76F8;&#x5173;&#x7684;&#x4F18;&#x5316;&#x5C31;&#x8981;&#x66F4;&#x52A0;&#x7075;&#x6D3B;&#x4E86;&#xFF0C;&#x4F46;&#x662F;&#x57FA;&#x672C;&#x601D;&#x8DEF;&#x548C;&#x8FD9;&#x91CC;&#x662F;&#x4E00;&#x6837;&#x7684;&#x3002;</p><ul><li><a href="../../search/opt/">DFS &#x526A;&#x679D;&#x4F18;&#x5316;</a></li></ul><h3 id="27-&#x6570;&#x636E;&#x7ED3;&#x6784;&#x5165;&#x95E8;">2.7 &#x6570;&#x636E;&#x7ED3;&#x6784;&#x5165;&#x95E8;<a title="Permanent link" class="headerlink" href="#27-&#x6570;&#x636E;&#x7ED3;&#x6784;&#x5165;&#x95E8;"></a></h3><h4 id="271-&#x7EBF;&#x6027;&#x6570;&#x636E;&#x7ED3;&#x6784;">2.7.1 &#x7EBF;&#x6027;&#x6570;&#x636E;&#x7ED3;&#x6784;<a title="Permanent link" class="headerlink" href="#271-&#x7EBF;&#x6027;&#x6570;&#x636E;&#x7ED3;&#x6784;"></a></h4><p>&#x6570;&#x7EC4;&#xFF0C;&#x94FE;&#x8868;&#xFF0C;&#x961F;&#x5217;&#xFF0C;&#x6808;&#xFF0C;&#x90FD;&#x662F;&#x7EBF;&#x6027;&#x7ED3;&#x6784;&#x3002;&#x5DE7;&#x7528;&#x8FD9;&#x4E9B;&#x7ED3;&#x6784;&#x53EF;&#x4EE5;&#x505A;&#x51FA;&#x4E0D;&#x5C11;&#x65B9;&#x4FBF;&#x7684;&#x4E8B;&#x60C5;&#x3002;</p><ul><li><a href="../../ds/stack/">&#x6808;</a></li><li><a href="../../ds/queue/">&#x961F;&#x5217;</a></li><li><a href="../../ds/linked-list/">&#x94FE;&#x8868;</a></li></ul><h4 id="272-&#x590D;&#x6742;&#x6570;&#x636E;&#x7ED3;&#x6784;">2.7.2 &#x590D;&#x6742;&#x6570;&#x636E;&#x7ED3;&#x6784;<a title="Permanent link" class="headerlink" href="#272-&#x590D;&#x6742;&#x6570;&#x636E;&#x7ED3;&#x6784;"></a></h4><ul><li><a href="../../graph/tree-basic/">&#x6811;&#x53CA;&#x4E8C;&#x53C9;&#x6811;</a></li><li><a href="../../graph/concept/">&#x56FE;&#x7684;&#x6982;&#x5FF5;</a></li><li><a href="../../graph/save/">&#x56FE;&#x7684;&#x5B58;&#x50A8;</a></li></ul><h3 id="28-&#x52A8;&#x6001;&#x89C4;&#x5212;&#x5165;&#x95E8;">2.8 &#x52A8;&#x6001;&#x89C4;&#x5212;&#x5165;&#x95E8;<a title="Permanent link" class="headerlink" href="#28-&#x52A8;&#x6001;&#x89C4;&#x5212;&#x5165;&#x95E8;"></a></h3><p>&#x52A8;&#x6001;&#x89C4;&#x5212;&#xFF08;Dynamic Programming, DP&#xFF09;&#x662F;&#x4E00;&#x79CD;&#x901A;&#x8FC7;&#x628A;&#x539F;&#x95EE;&#x9898;&#x5206;&#x89E3;&#x4E3A;&#x76F8;&#x5BF9;&#x7B80;&#x5355;&#x7684;&#x5B50;&#x95EE;&#x9898;&#x7684;&#x65B9;&#x5F0F;&#x6C42;&#x89E3;&#x590D;&#x6742;&#x95EE;&#x9898;&#x7684;&#x65B9;&#x6CD5;&#x3002;</p><p>&#x7531;&#x4E8E;&#x52A8;&#x6001;&#x89C4;&#x5212;&#x5E76;&#x4E0D;&#x662F;&#x67D0;&#x79CD;&#x5177;&#x4F53;&#x7684;&#x7B97;&#x6CD5;&#xFF0C;&#x800C;&#x662F;&#x4E00;&#x79CD;&#x89E3;&#x51B3;&#x7279;&#x5B9A;&#x95EE;&#x9898;&#x7684;&#x65B9;&#x6CD5;&#xFF0C;&#x56E0;&#x6B64;&#x5B83;&#x4F1A;&#x51FA;&#x73B0;&#x5728;&#x5404;&#x5F0F;&#x5404;&#x6837;&#x7684;&#x6570;&#x636E;&#x7ED3;&#x6784;&#x4E2D;&#xFF0C;&#x4E0E;&#x4E4B;&#x76F8;&#x5173;&#x7684;&#x9898;&#x76EE;&#x79CD;&#x7C7B;&#x4E5F;&#x66F4;&#x4E3A;&#x7E41;&#x6742;&#x3002;</p><ul><li><a href="../../dp/">&#x52A8;&#x6001;&#x89C4;&#x5212;&#x7B80;&#x4ECB;</a></li></ul><h4 id="281-&#x80CC;&#x5305;&#x95EE;&#x9898;">2.8.1 &#x80CC;&#x5305;&#x95EE;&#x9898;<a title="Permanent link" class="headerlink" href="#281-&#x80CC;&#x5305;&#x95EE;&#x9898;"></a></h4><p>&#x5373;&#x7ED9;&#x51FA;&#x4E00;&#x4E2A;&#x6709;&#x9650;&#x5236;&#x5BB9;&#x91CF;&#x7684;&#x80CC;&#x5305;&#xFF0C;&#x9009;&#x62E9;&#x653E;&#x5165;&#x82E5;&#x5E72;&#x6709;&#x5BB9;&#x91CF;&#x548C;&#x4EF7;&#x503C;&#x7684;&#x7269;&#x54C1;&#xFF0C;&#x6C42;&#x89E3;&#x5982;&#x4F55;&#x653E;&#x7F6E;&#x80FD;&#x4F7F;&#x5F97;&#x4EF7;&#x503C;&#x603B;&#x548C;&#x6700;&#x5927;&#x3002;&#x8FD9;&#x662F;&#x963B;&#x6321;&#x5F88;&#x591A; OIer &#x7684;&#x7B2C;&#x4E00;&#x9053;&#x574E;&#xFF0C;&#x4ECE;&#x8FD9;&#x91CC;&#x5F00;&#x59CB;&#xFF0C;&#x7B97;&#x6CD5;&#x5C31;&#x6709;&#x4E9B;&#x96BE;&#x4EE5;&#x7406;&#x89E3;&#x3002;</p><ul><li><a href="../../dp/knapsack/">&#x80CC;&#x5305; DP</a></li></ul><h4 id="282-&#x7EBF;&#x6027;&#x52A8;&#x6001;&#x89C4;&#x5212;">2.8.2 &#x7EBF;&#x6027;&#x52A8;&#x6001;&#x89C4;&#x5212;<a title="Permanent link" class="headerlink" href="#282-&#x7EBF;&#x6027;&#x52A8;&#x6001;&#x89C4;&#x5212;"></a></h4><p>&#x5728;&#x52A8;&#x6001;&#x89C4;&#x5212;&#x4E2D;&#xFF0C;&#x6700;&#x96BE;&#x7684;&#x90E8;&#x5206;&#x4E4B;&#x4E00;&#x5C31;&#x662F;&#x8BBE;&#x8BA1;&#x72B6;&#x6001;&#xFF0C;&#x9700;&#x8981;&#x7528;&#x5230;&#x6784;&#x9020;&#x76F8;&#x5173;&#x6280;&#x5DE7;&#x3002;&#x5F53;&#x4F60;&#x5199;&#x51FA;&#x4E86;&#x72B6;&#x6001;&#x548C;&#x72B6;&#x6001;&#x8F6C;&#x79FB;&#x65B9;&#x7A0B;&#x4E4B;&#x540E;&#xFF0C;&#x5B8C;&#x6210;&#x4E00;&#x9053;&#x52A8;&#x6001;&#x89C4;&#x5212;&#x7684;&#x9898;&#x76EE;&#x5C31;&#x4E0D;&#x96BE;&#x4E86;&#x3002;</p><ul><li><a href="../../basic/construction/">&#x6784;&#x9020;</a></li><li><a href="../../dp/basic/">&#x52A8;&#x6001;&#x89C4;&#x5212;&#x57FA;&#x7840;</a></li></ul><p>&#x8BB0;&#x5FC6;&#x5316;&#x641C;&#x7D22;&#x662F;&#x4E00;&#x79CD;&#x901A;&#x8FC7;&#x8BB0;&#x5F55;&#x5DF2;&#x7ECF;&#x904D;&#x5386;&#x8FC7;&#x7684;&#x72B6;&#x6001;&#x7684;&#x4FE1;&#x606F;&#xFF0C;&#x4ECE;&#x800C;&#x907F;&#x514D;&#x5BF9;&#x540C;&#x4E00;&#x72B6;&#x6001;&#x91CD;&#x590D;&#x904D;&#x5386;&#x7684;&#x641C;&#x7D22;&#x5B9E;&#x73B0;&#x65B9;&#x5F0F;&#x3002;&#x6709;&#x7684;&#x9898;&#x76EE;&#x4E5F;&#x53EF;&#x4EE5;&#x4F7F;&#x7528;&#x8BB0;&#x5FC6;&#x5316;&#x641C;&#x7D22;&#x6765;&#x964D;&#x4F4E;&#x601D;&#x7EF4;&#x96BE;&#x5EA6;&#x3002;</p><p>&#x56E0;&#x4E3A;&#x8BB0;&#x5FC6;&#x5316;&#x641C;&#x7D22;&#x786E;&#x4FDD;&#x4E86;&#x6BCF;&#x4E2A;&#x72B6;&#x6001;&#x53EA;&#x8BBF;&#x95EE;&#x4E00;&#x6B21;&#xFF0C;&#x5B83;&#x4E5F;&#x662F;&#x4E00;&#x79CD;&#x5E38;&#x89C1;&#x7684;&#x52A8;&#x6001;&#x89C4;&#x5212;&#x5B9E;&#x73B0;&#x65B9;&#x5F0F;&#x3002;</p><ul><li><a href="../../dp/memo/">&#x8BB0;&#x5FC6;&#x5316;&#x641C;&#x7D22;</a></li></ul><h4 id="283-&#x590D;&#x6742;&#x52A8;&#x6001;&#x89C4;&#x5212;">2.8.3 &#x590D;&#x6742;&#x52A8;&#x6001;&#x89C4;&#x5212;<a title="Permanent link" class="headerlink" href="#283-&#x590D;&#x6742;&#x52A8;&#x6001;&#x89C4;&#x5212;"></a></h4><p>&#x533A;&#x95F4;&#x7C7B;&#x52A8;&#x6001;&#x89C4;&#x5212;&#x662F;&#x7EBF;&#x6027;&#x52A8;&#x6001;&#x89C4;&#x5212;&#x7684;&#x6269;&#x5C55;&#xFF0C;&#x5B83;&#x5728;&#x5206;&#x9636;&#x6BB5;&#x5730;&#x5212;&#x5206;&#x95EE;&#x9898;&#x65F6;&#xFF0C;&#x4E0E;&#x9636;&#x6BB5;&#x4E2D;&#x5143;&#x7D20;&#x51FA;&#x73B0;&#x7684;&#x987A;&#x5E8F;&#x548C;&#x7531;&#x524D;&#x4E00;&#x9636;&#x6BB5;&#x7684;&#x54EA;&#x4E9B;&#x5143;&#x7D20;&#x5408;&#x5E76;&#x800C;&#x6765;&#x6709;&#x5F88;&#x5927;&#x7684;&#x5173;&#x7CFB;&#x3002;</p><ul><li><a href="../../dp/interval/">&#x533A;&#x95F4; DP</a></li></ul><h3 id="29-&#x6570;&#x5B66;">2.9 &#x6570;&#x5B66;<a title="Permanent link" class="headerlink" href="#29-&#x6570;&#x5B66;"></a></h3><h4 id="291-&#x9AD8;&#x7CBE;&#x5EA6;&#x7B97;&#x6CD5;">2.9.1 &#x9AD8;&#x7CBE;&#x5EA6;&#x7B97;&#x6CD5;<a title="Permanent link" class="headerlink" href="#291-&#x9AD8;&#x7CBE;&#x5EA6;&#x7B97;&#x6CD5;"></a></h4><p>&#x5C31;&#x7B97;&#x662F; long long&#xFF08;&#x6216; int64&#xFF09;&#x8FD8;&#x4E0D;&#x591F;&#x600E;&#x4E48;&#x529E;&#xFF1F;&#x7528;&#x9AD8;&#x7CBE;&#x5EA6;&#x7B97;&#x6CD5;&#x3002;&#x672C;&#x8D28;&#x4E0A;&#x5C31;&#x662F;&#x6A21;&#x62DF;&#x4E86;&#x56DB;&#x5219;&#x8FD0;&#x7B97;&#x3002;</p><ul><li><a href="../../math/bignum/">&#x9AD8;&#x7CBE;&#x5EA6;&#x8BA1;&#x7B97;</a></li></ul><h4 id="292-&#x8FDB;&#x5236;&#x8F6C;&#x6362;">2.9.2 &#x8FDB;&#x5236;&#x8F6C;&#x6362;<a title="Permanent link" class="headerlink" href="#292-&#x8FDB;&#x5236;&#x8F6C;&#x6362;"></a></h4><p>&#x5728;&#x8BA1;&#x7B97;&#x673A;&#x4E2D;&#xFF0C;&#x9664;&#x4E86;&#x4E8C;&#x8FDB;&#x5236;&#xFF0C;&#x6BD4;&#x8F83;&#x5E38;&#x7528;&#x7684;&#x8FD8;&#x6709;&#x516B;&#x8FDB;&#x5236;&#x548C;&#x5341;&#x516D;&#x8FDB;&#x5236;&#x3002;&#x6709;&#x7684;&#x65F6;&#x5019;&#x5B66;&#x4F1A;&#x8FD0;&#x7528;&#x6B63;&#x786E;&#x7684;&#x8FDB;&#x5236;&#x5BF9;&#x89E3;&#x9898;&#x4E5F;&#x6709;&#x5F88;&#x5927;&#x5E2E;&#x52A9;&#x3002;</p><ul><li><a href="../../math/base/">&#x8FDB;&#x4F4D;&#x5236;</a></li></ul><h4 id="293-&#x4F4D;&#x8FD0;&#x7B97;">2.9.3 &#x4F4D;&#x8FD0;&#x7B97;<a title="Permanent link" class="headerlink" href="#293-&#x4F4D;&#x8FD0;&#x7B97;"></a></h4><p>&#x4F4D;&#x8FD0;&#x7B97;&#x5C31;&#x662F;&#x57FA;&#x4E8E;&#x6574;&#x6570;&#x7684;&#x4E8C;&#x8FDB;&#x5236;&#x8868;&#x793A;&#x8FDB;&#x884C;&#x7684;&#x8FD0;&#x7B97;&#x3002;&#x7531;&#x4E8E;&#x8BA1;&#x7B97;&#x673A;&#x5185;&#x90E8;&#x5C31;&#x662F;&#x4EE5;&#x4E8C;&#x8FDB;&#x5236;&#x6765;&#x5B58;&#x50A8;&#x6570;&#x636E;&#xFF0C;&#x4F4D;&#x8FD0;&#x7B97;&#x662F;&#x76F8;&#x5F53;&#x5FEB;&#x7684;&#x3002;</p><p>&#x57FA;&#x672C;&#x7684;&#x4F4D;&#x8FD0;&#x7B97;&#x5171; 6 &#x79CD;&#xFF0C;&#x5206;&#x522B;&#x4E3A;&#x6309;&#x4F4D;&#x4E0E;&#x3001;&#x6309;&#x4F4D;&#x6216;&#x3001;&#x6309;&#x4F4D;&#x5F02;&#x6216;&#x3001;&#x6309;&#x4F4D;&#x53D6;&#x53CD;&#x3001;&#x5DE6;&#x79FB;&#x548C;&#x53F3;&#x79FB;&#x3002;</p><ul><li><a href="../../math/bit/">&#x4F4D;&#x8FD0;&#x7B97;</a></li></ul><h4 id="294-&#x6570;&#x8BBA;">2.9.4 &#x6570;&#x8BBA;<a title="Permanent link" class="headerlink" href="#294-&#x6570;&#x8BBA;"></a></h4><ul><li><a href="../../math/number-theory/basic/">&#x6570;&#x8BBA;&#x57FA;&#x7840;</a></li><li><a href="../../math/number-theory/prime/">&#x7D20;&#x6570;</a></li><li><a href="../../math/number-theory/sieve/">&#x7B5B;&#x6CD5;</a></li><li><a href="../../math/number-theory/gcd/">&#x6700;&#x5927;&#x516C;&#x56E0;&#x6570;</a></li><li><a href="../../math/number-theory/euler/">&#x6B27;&#x62C9;&#x51FD;&#x6570;</a></li><li><a href="../../math/number-theory/pollard-rho/">&#x5206;&#x89E3;&#x8D28;&#x56E0;&#x6570;</a></li></ul><h4 id="295-&#x7EC4;&#x5408;&#x8BA1;&#x6570;">2.9.5 &#x7EC4;&#x5408;&#x8BA1;&#x6570;<a title="Permanent link" class="headerlink" href="#295-&#x7EC4;&#x5408;&#x8BA1;&#x6570;"></a></h4><ul><li><a href="../../math/combinatorics/combination/">&#x6392;&#x5217;&#x7EC4;&#x5408;</a></li><li><a href="../../math/combinatorics/drawer-principle/">&#x62BD;&#x5C49;&#x539F;&#x7406;</a></li><li><a href="../../math/combinatorics/inclusion-exclusion-principle/">&#x5BB9;&#x65A5;&#x539F;&#x7406;</a></li></ul><hr><p>&#x81F3;&#x6B64;&#xFF0C;&#x4F60;&#x5C31;&#x5B66;&#x4E60;&#x5B8C;&#x4E86;&#x5165;&#x95E8;&#x7EC4;&#x8303;&#x7574;&#x5185;&#x7684;&#x6240;&#x6709;&#x7B97;&#x6CD5;&#xFF0C;&#x4F46;&#x662F;&#x60F3;&#x8981;&#x638C;&#x63E1;&#x5B83;&#x4EEC;&#xFF0C;&#x4F60;&#x9700;&#x8981;&#x7EE7;&#x7EED;&#x8FDB;&#x884C;&#x8DB3;&#x591F;&#x6570;&#x91CF;&#x7684;&#x5237;&#x9898;&#xFF0C;&#x4EE5;&#x5DE9;&#x56FA;&#x4F60;&#x6240;&#x5B66;&#x5230;&#x7684;&#x77E5;&#x8BC6;&#x70B9;&#x3002;</p>
</article>
      </div>
      
      
    
    
    
    
    
    
    
    
  
    </body></html>